Question

Two linear equations are shown.

image is

y=1/3x+2
y=4/3x-5

What is the solution to the system of equations?

(7, 4)
7,13/3
8,14/3
(9, 7)

Answer 1

look in the image for the point where the two lines meet.
It should be (7, 13/3)
the answer is B.

Answer 2

Answer:

Option 2nd is correct

$(7, \frac{13}{3})$

Step-by-step explanation:

Given the system of equations:

$y = \frac{1}{3}x+2$            .....[1]

$y = \frac{4}{3}x-5$            .....[2]

Equate these equations we have;

$\frac{4}{3}x-5 = \frac{1}{3}x+2$

Add 5 to both sides we have;

$\frac{4}{3}x= \frac{1}{3}x+7$

Subtract $\frac{1}{3}x$ from both sides we have;

$\frac{4}{3}x-\frac{1}{3}x =7$

Simplify:

$x = 7$

Substitute the value of x in [1] we have;

$y = \frac{1}{3}(7)+2$

⇒$y = \frac{7}{3} +2 = \frac{13}{3}$

Therefore, the solution to the system of  given equations is, $(7, \frac{13}{3})$